Crystalizing the Spinon Basis

Atsushi Nakayashiki; Yasuhiko Yamada

doi:10.1007/bf02104914

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arXiv · hep-th/9504052

Crystalizing the Spinon Basis

Atsushi Nakayashiki·Yasuhiko Yamada

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Abstract

The quasi-particle structure of the higher spin XXZ model is studied. We obtained a new description of crystals associated with the level $k$ integrable highest weight $U_q(\widehat{sl_2})$ modules in terms of the creation operators at $q=0$ (the crystaline spinon basis). The fermionic character formulas and the Yangian structure of those integrable modules naturally follow from this description. We have also derived the conjectural formulas for the multi quasi-particle states at $q=0$.

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Atsushi Nakayashiki, Yasuhiko Yamada. 1995-04-10. Crystalizing the Spinon Basis. https://doi.org/10.1007/bf02104914

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